Odd-quadratic Lie superalgebras (Preprint)

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Type: Preprint
National /International: International
Title: Odd-quadratic Lie superalgebras
Publication Date: 2007
Authors: - Helena Albuquerque
- Maria Elisabete Barreiro
- Said Benayadi
Abstract: An odd-quadratic Lie superalgebra is a Lie superalgebra with a nondegenerate supersymmetric odd invariant bilinear form. In this paper we give examples and present some properties of odd-quadratic Lie superalgebras, introduce the notions of double extension and generalized double extension of odd-quadratic Lie superalgebras and give an inductive classification of odd-quadratic Lie superalgebras such that the even part is a reductive Lie algebra.
Institution: DMUC 07-09
Online version: http://www.mat.uc.pt...prints/eng_2007.html
Download: Not available
 
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